Calculate the concentration of an aqueous solution of a non-electrolyte at $300 \ K$ if its osmotic pressure is $12 \ atm$. $\left[R = 0.0821 \ atm \ dm^3 \ K^{-1} \ mol^{-1}\right]$ (in $M$)

When does the osmotic pressure of a solution increase?

The following solutions were prepared by dissolving $10 \ g$ of glucose $(C_{6}H_{12}O_{6})$ in $250 \ mL$ of water $(P_{1})$,$10 \ g$ of urea $(CH_{4}N_{2}O)$ in $250 \ mL$ of water $(P_{2})$,and $10 \ g$ of sucrose $(C_{12}H_{22}O_{11})$ in $250 \ mL$ of water $(P_{3})$. The right option for the decreasing order of osmotic pressure of these solutions is:

What mass of solute (molar mass $58 \ g \ mol^{-1}$) is to be dissolved in $2.5 \ dm^3$ $H_2O$ to generate osmotic pressure of $0.245 \ atm$ at $300 \ K$ (in $g$)? $(R = 0.0821 \ dm^3 \ atm \ K^{-1} \ mol^{-1})$.

Equal volumes of $0.2 \ M$ urea and $0.2 \ M$ glucose are mixed. The mixture will have

$A$ solution is prepared by dissolving $0.6 \ g$ of urea (molar mass $= 60 \ g \ mol^{-1}$) and $1.8 \ g$ of glucose (molar mass $= 180 \ g \ mol^{-1}$) in $100 \ mL$ of water at $27 \ ^oC$. The osmotic pressure of the solution is : ............. $atm$ $(R = 0.08206 \ L \ atm \ K^{-1} \ mol^{-1})$